local multiplayer

I haven't been a console gamer since consoles were local-only (n64, ps1, gamecube, etc.). Long story short, a friend talked me into PS4 and I'm most interested in military FPS's and other shooters (BF4, cod, killzone, the division, etc. and a few other games (watch dogs, imfamous).

Most of my multiplayer will be played online, but are there any games I could have some fun with locally via split-screen? I guess my question is...what's the point of a second controller? I'd love to utilize it for some local fun, but it seems like almost everything is played online. Can anyone recommend some great ps4 titles that could be played locally? I'm open to any genre, but my favorites would be FPS's and 'open world' games.

Ummm idk? pretty sure you will be able to split screen CoD Ghosts and play online with others. Probably be able to do the same with Destiny. Not really sure, but I do miss the LAN parties we use to have!